Unlikely he was the pitcher:
"Tom had one of his most memorable days on September 28, 1894, when he connected for the cycle in a game against the New York Giants. The very next day was memorable for less positive reasons. Due to pitch the first game of a double-header, Parrott reported for duty midway through the game. Pitching the second game instead, Parrott was about the start the second inning when, responding to a bit of encouragement from Arlie Latham, the Reds’ third baseman and captain, Parrott got in a heated argument with Latham, ultimately refusing to pitch further. He was ordered off the field and suspended for the duration of the season. The local Sporting News correspondent was fed up: “Parrott has been kindly treated by the patrons of the game in this city, and very often he did not deserve it. He wanted to be known as a clown, and in this role he was a dismal failure.”
According to that he was scheduled as the opening pitcher in the first game of a double-header the next day. I doubt the manager would have him as opening pitcher on consecutive days.